Existing of Chezaro limit of bounded solutions of evolution equation with varying operator (in Ukrainian)

Author
L. Babyak, O. Gorbachuk
Faculty of Pedagogy, Drohobych Ivan Franko State Pedagogical University, 2 L. Kurbasa St., Drohobych, Lviv Region 293720, Ukraine.
Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 1 Universytetska St., Lviv 290602, Ukraine.
Abstract
We establish necessary and sufficient conditions of behaviour at infinity of the solution of the inhomogeneous evolution equation with varying operator on Banakh space under some conditions on this operators.
Keywords
inhomogeneous evolution equation, varying operator, Banach space, behavior at infinity
DOI
doi:10.30970/ms.10.2.199-202
Reference
1. Хилле Э., Филлипс Р. Функциональный анализ и полугруппы. – М.: Изд-во иност. лит., 1962. – 830c.

2. Крейн С.Г. Линейные дифференциальные уравнения в банаховом пространстве. – М.: Наука, 1967. – 464c.

Pages
199-202
Volume
10
Issue
2
Year
1998
Journal
Matematychni Studii
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